# Isoperimetric inequality and Q-curvature

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Yi Wang, Stanford University
Fine Hall 314

Using the techniques of $A_p$ weights, we study the relationships between the isoperimetric inequality with the Paneitz Q-curvature. We show a Fiala-Huber type isoperimetric inequality for higher dimensions in which the isoperimetric constant depends only on the integrals of the Q-curvature.